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THE NUMBER OF PRIME FACTORS OF THE SCALE FUNCTION ON A COMPACTLY GENERATED GROUP IS FINITE

Published online by Cambridge University Press:  18 April 2001

GEORGE A. WILLIS
GEORGE A. WILLIS
Affiliation:
Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia; e-mail: george@frey.newcastle.edu.au
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Abstract

It is shown that for each compactly generated totally disconnected locally compact group G, there is a finite number of prime numbers, p1, p2, …, pn, such that the scale function s : G → N satisfies s(x) = p1a1(x)p2a2(x)…, pnan(x), where x ∈ G.

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Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 2 , March 2001 , pp. 168 - 174
Copyright
© The London Mathematical Society 2001

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Footnotes

Research supported by A.R.C. Grant A69700321.